Learn All Concepts of Chapter 3 Class 12 Matrices - FREE. Check - Matrices Class 12 - Full video

Let’s consider the matrix

It has 2 rows & 2 columns

So, we write the order as

And,

3, 2, 1, 4 are elements of matrix A

We write the matrix A as

Where

a
_{
11
}
→ element in 1st row, 1st column

a
_{
12
}
→ element in 1st row, 2nd column

a
_{
21
}
→ element in 2nd row, 1st column

a
_{
22
}
→ element in 2nd row, 2nd column

So,

a
_{
11
}
= 3

a
_{
12
}
= 2

a
_{
21
}
= 1

a
_{
22
}
= 4

For matrix

It has 3 rows & 2 columns

So, the order is 3 × 2.

We write matrix B as

Similarly,

## Create a 4 × 3 matrix where elements are given by

##
a
_{
ij
}
= i + j

A 4 × 3 matrix looks like

Now,

a
_{
11
}
= 1 + 1 = 2

a
_{
12
}
= 1 + 2 = 3

a
_{
13
}
= 1 + 3 = 4

a
_{
21
}
= 2 + 1 = 3

a
_{
22
}
= 2 + 2 = 4

a
_{
23
}
= 2 + 3 = 5

a
_{
32
}
= 3 + 2 = 5

a
_{
33
}
= 3 + 3 = 6

a
_{
41
}
= 4 + 1 = 5

a
_{
42
}
= 4 + 2 = 5

a
_{
43
}
= 4 + 3 = 7

So, our matrix is